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| rdf:type
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| Description
| - The paper focuses on methodological and computational aspects associated with high accuracy quasigeoid modelling. Accuracy demands driven by GNSS levelling applications are substantially taken into consideration. The concept of the so-called gravimetric boundary value problem was used as the basis for the determination of the disturbing potential from gravity disturbances. In the approach developed the Green’s function constructed for the exterior of an oblate ellipsoid of revolution is essentially used for the solution of the problem. The mathematical apparatus is constructed consistently. The idea of spherical approximation was avoided. This also means that the kernel used for the integral representation of the solution is an ellipsoidal analogue to the so-called Hotine-Koch function well-known in physical geodesy. Fundamental steps leading from an ellipsoidal harmonics series representation of the kernel into its closed form expression are explained. Legendre elliptic integrals were substantially used in the numerical evaluation of the kernel. Effects caused by the departure of the Earth’s surface from the ellipsoid as well as oblique derivative effects associated with the structure of the boundary condition are taken into account through successive approximations. Their construction follows the concept of analytical continuation and was implemented by means of the apparatus related to an oblate ellipsoid of revolution. The approach discussed in the paper was subjected to extensive numerical and computation tests. Terrestrial gravity, levelling and GNSS data from the Czech Republic territory were used for this purpose. On this basis we have well justified reasons to conclude that the results obtained and interpreted in terms of height anomalies or quasigeoid heights achieve an accuracy level of one centimeter in most of the Czech Republic territory.
- The paper focuses on methodological and computational aspects associated with high accuracy quasigeoid modelling. Accuracy demands driven by GNSS levelling applications are substantially taken into consideration. The concept of the so-called gravimetric boundary value problem was used as the basis for the determination of the disturbing potential from gravity disturbances. In the approach developed the Green’s function constructed for the exterior of an oblate ellipsoid of revolution is essentially used for the solution of the problem. The mathematical apparatus is constructed consistently. The idea of spherical approximation was avoided. This also means that the kernel used for the integral representation of the solution is an ellipsoidal analogue to the so-called Hotine-Koch function well-known in physical geodesy. Fundamental steps leading from an ellipsoidal harmonics series representation of the kernel into its closed form expression are explained. Legendre elliptic integrals were substantially used in the numerical evaluation of the kernel. Effects caused by the departure of the Earth’s surface from the ellipsoid as well as oblique derivative effects associated with the structure of the boundary condition are taken into account through successive approximations. Their construction follows the concept of analytical continuation and was implemented by means of the apparatus related to an oblate ellipsoid of revolution. The approach discussed in the paper was subjected to extensive numerical and computation tests. Terrestrial gravity, levelling and GNSS data from the Czech Republic territory were used for this purpose. On this basis we have well justified reasons to conclude that the results obtained and interpreted in terms of height anomalies or quasigeoid heights achieve an accuracy level of one centimeter in most of the Czech Republic territory. (en)
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| Title
| - Ellipsoidal Effects, Modelling and Technique Refinements in High Accuracy Quasigeoid Computation
- Ellipsoidal Effects, Modelling and Technique Refinements in High Accuracy Quasigeoid Computation (en)
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| skos:prefLabel
| - Ellipsoidal Effects, Modelling and Technique Refinements in High Accuracy Quasigeoid Computation
- Ellipsoidal Effects, Modelling and Technique Refinements in High Accuracy Quasigeoid Computation (en)
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| skos:notation
| - RIV/00025615:_____/14:#0002085!RIV15-GA0-00025615
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| http://linked.open...avai/riv/aktivita
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| http://linked.open...avai/riv/aktivity
| - P(ED1.1.00/02.0090), P(GA14-34595S)
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| http://linked.open...vai/riv/dodaniDat
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| http://linked.open...aciTvurceVysledku
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| http://linked.open.../riv/druhVysledku
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| http://linked.open...iv/duvernostUdaju
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| http://linked.open...titaPredkladatele
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| http://linked.open...dnocenehoVysledku
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| http://linked.open...ai/riv/idVysledku
| - RIV/00025615:_____/14:#0002085
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| http://linked.open...riv/jazykVysledku
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| http://linked.open.../riv/klicovaSlova
| - Earth’s gravity potential; gravimetric boundary value problem; Green’s function; reproducing kernels; convolution; quasigeoid (en)
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| http://linked.open.../riv/klicoveSlovo
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| http://linked.open...i/riv/kodPristupu
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| http://linked.open...ontrolniKodProRIV
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| http://linked.open...i/riv/mistoVydani
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| http://linked.open...telVyzkumneZpravy
| - International Association of Geodesy
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| http://linked.open...in/vavai/riv/obor
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| http://linked.open...ichTvurcuVysledku
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| http://linked.open...cetTvurcuVysledku
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| http://linked.open...vavai/riv/projekt
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| http://linked.open...UplatneniVysledku
| |
| http://linked.open...iv/tvurceVysledku
| - Holota, Petr
- Nesvadba, Otakar
|
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